Atkin-Lehner |
2- 3- 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47190ct |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-27086388203160000 = -1 · 26 · 35 · 54 · 118 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- 13+ 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-80770,-11871100] |
[a1,a2,a3,a4,a6] |
Generators |
[560:-11170:1] |
Generators of the group modulo torsion |
j |
-32894113444921/15289560000 |
j-invariant |
L |
12.506341603174 |
L(r)(E,1)/r! |
Ω |
0.13850384275214 |
Real period |
R |
0.75246658351822 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999941 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4290p1 |
Quadratic twists by: -11 |